# How Is the Quotient of Two Fractions Found?

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**To find the quotient of two fractions, take the reciprocal of the divisor, or bottom fraction, and multiply it by the first fraction.** Fractions can be multiplied together by multiplying the numerators together and multiplying the denominators together.

A quotient of two fractions involves dividing one fraction by another. This can be rewritten as the first fraction being multiplied by the divisor, if the divisor has its numerator and denominator switched. For example, 1/4 divided by 5/4 can be re-written as 1/4 multiplied by 4/5. Because the denominator of the dividend and the numerator of the second term are both 4, they cancel out, leaving a final answer of 1 over 5, or 1/5.

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